Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14556659 |
| Fitting | C4×C8×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×#106 |
280 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
632 conjugacy classes — view the full character table.
| maximal subgroup of | #34000266, #34000267, #34000269, … |
| maximal normal subgroup of | #34000266, #34000267, #34000269, … |
| maximal quotient of | C4×#17989448, C4×#17989449, #34003980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20320);